Seite - 21 - in Contributions to GRACE Gravity Field Recovery - Improvements in Dynamic Orbit Integration, Stochastic Modelling of the Antenna Offset Correction, and Co-Estimation of Satellite Orientations

0 25 50 75 100 Degree 0.00 0.25 0.50 0.75 1.00 100 [km] 300 [km] 500 [km] (a) 120 90 60 30 0 30 60 90 120 0 30 60 90 120 Ordermsnm cnm (b) Figure 3.3: (a) Damping factor for Gaussian filters of several radii, and (b) coefficient triangle after filtering with radius r=300km. The scale in (b) is identical to that of fig. 3.2a. r in such a way that in the spatial domain, the amplitude of the Gaussian spherical cap reaches half its initial amplitude at a distance of the filter radius from its centre. Figure 3.3a shows the damping factor for some example filter radii. Figure 3.3b shows the coefficient triangle for a solution that has been filtered with a Gaussian filter of radius 300km. 3.4 Representation of the Gravitational Potential 21